Department of Economics and Business Economics

A note on optimal (s,S) and (R,nQ) policies under a stuttering Poisson demand process

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In this note, a new efficient algorithm is proposed to find an optimal (s, S) replenishment policy for inventory systems with continuous reviews and where the demand follows a stuttering Poisson process (the compound element is geometrically distributed). We also derive three upper bounds for the relative increase in cost if one uses the best (R, nQ) policy instead of the optimal (s, S) policy. One of these upper bounds (the most loose of those) can be expressed as the fraction of the variance-to-mean ratio of the geometric distribution and the economic order quantity. We explore numerically when these upper bounds are tight.
Original languageEnglish
JournalInternational Journal of Inventory Research
Volume2
Issue4
Pages (from-to)289-304
Number of pages16
ISSN1746-6962
DOIs
Publication statusPublished - 2015

Bibliographical note

Paper haves på AU Library, Fuglesangs alle: AU Research 2015 / Paper is available in print at AU Library, Fuglesangs alle: AU Research 2015

    Research areas

  • Inventory control policies, Stuttering Poisson demand, Upper bounds, Replenishment policy, Continous review, Economic order quantity, EOQ

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